Due Date Is Over
Due Date: 25-10-2024
Matrices and Eigen value problems
Reduce the quadratic form 2xy+2xz-2yz to canonical form by orthogonal reduction. Also find its nature.
Reduce the quadratic form x^2+5y^2+z^2+2xy+2yz+6zx to canonical form and hence find its rank.
Due Date Is Over
Due Date: 09-12-2024
Assignment II
1. Find the evolute of the parabola .
2. Find the evolute of the hyperbola .
3. A rectangular box open at the top , is to have a volume of 32cc. Find the dimensions of the box, that requires the least materials for its construction.
4. A rectangular box open at the top , is to have the capacity of 108 cu.ms. Find the dimensions of the box, requiring the least materials for its construction.
